On Super Magic Algorithm for Union of Comb and Star Graph

Year 2023, Volume: 11 Issue: 1, 82 - 89, 30.04.2023

Rongbing Huang Muhammad Farhan Hanif Muhammad Kamran Siddiqui , Muhammad Faisal Nadeem

Abstract

In [7], Enomoto \emph{et al.} identified the concept of super edge magic total labeling of graphs by getting motivation from the idea of edge-magic labeling of graphs that was brought into light by Kotzig and Rosa [20]. An edge magic total labeling of a graph $G$ is a one to one map $\phi$ from $V(G)\cup E(G)$ onto the set $ \{1, 2, \dots , |V(G)|+|E(G)|\}$ with the property that, there is an integer constant $\alpha$ such that $\phi(u)+\phi(uv)+\phi(v)=\alpha$ for any $(u,v)\in E(G).$ Moreover if $\phi(V(G))=\{1, 2, \dots , |V(G)|\}$, then edge magic total labeling is called super edge magic total labeling. In this paper, we study the super edge magic total labeling of generalized comb graph.

Keywords

magic graph, SEM total labeling, comb graph, star

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